1146581128 has 128 divisors (see below), whose sum is σ = 2799820800. Its totient is φ = 427161600.

The previous prime is 1146581081. The next prime is 1146581131. The reversal of 1146581128 is 8211856411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1852003 + ... + 1852621.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^1146581128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146581128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399910400).

1146581128 is an abundant number, since it is smaller than the sum of its proper divisors (1653239672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1146581128 is a wasteful number, since it uses less digits than its factorization.

1146581128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its digits is 15360, while the sum is 37.

The square root of 1146581128 is about 33861.2038770035. The cubic root of 1146581128 is about 1046.6502859396.

The spelling of 1146581128 in words is "one billion, one hundred forty-six million, five hundred eighty-one thousand, one hundred twenty-eight".